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Finding the Third Proportional to 104,719.71 and 148,058.19

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Solution

The third proportional to 104,719.71 and 148,058.19 is: 209,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,719.71 : 148,058.19 = 148,058.19 : x
  2. Step 2: Convert to fraction form
    104,719.71/148,058.19 = 148,058.19/x
  3. Step 3: Cross multiply
    104,719.71x = 148,058.19 × 148,058.19
  4. Step 4: Simplify right side
    104,719.71x = 21,921,228,042.49
  5. Step 5: Solve for x
    x = 21,921,228,042.49/104,719.71
  6. Step 6: Final answer
    x = 209,332.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.