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Finding the Third Proportional to 83,316 and 119,058.75

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Solution

The third proportional to 83,316 and 119,058.75 is: 170,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,316 : 119,058.75 = 119,058.75 : x
  2. Step 2: Convert to fraction form
    83,316/119,058.75 = 119,058.75/x
  3. Step 3: Cross multiply
    83,316x = 119,058.75 × 119,058.75
  4. Step 4: Simplify right side
    83,316x = 14,174,985,951.56
  5. Step 5: Solve for x
    x = 14,174,985,951.56/83,316
  6. Step 6: Final answer
    x = 170,135.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.