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Finding the Third Proportional to 60,570 and 133,088

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Solution

The third proportional to 60,570 and 133,088 is: 292,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,570 : 133,088 = 133,088 : x
  2. Step 2: Convert to fraction form
    60,570/133,088 = 133,088/x
  3. Step 3: Cross multiply
    60,570x = 133,088 × 133,088
  4. Step 4: Simplify right side
    60,570x = 17,712,415,744
  5. Step 5: Solve for x
    x = 17,712,415,744/60,570
  6. Step 6: Final answer
    x = 292,428.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.