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Finding the Third Proportional to 64,084.97 and 138,030.84

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Solution

The third proportional to 64,084.97 and 138,030.84 is: 297,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,084.97 : 138,030.84 = 138,030.84 : x
  2. Step 2: Convert to fraction form
    64,084.97/138,030.84 = 138,030.84/x
  3. Step 3: Cross multiply
    64,084.97x = 138,030.84 × 138,030.84
  4. Step 4: Simplify right side
    64,084.97x = 19,052,513,826.34
  5. Step 5: Solve for x
    x = 19,052,513,826.34/64,084.97
  6. Step 6: Final answer
    x = 297,300.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.