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Finding the Third Proportional to 60,527 and 132,998

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Solution

The third proportional to 60,527 and 132,998 is: 292,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,527 : 132,998 = 132,998 : x
  2. Step 2: Convert to fraction form
    60,527/132,998 = 132,998/x
  3. Step 3: Cross multiply
    60,527x = 132,998 × 132,998
  4. Step 4: Simplify right side
    60,527x = 17,688,468,004
  5. Step 5: Solve for x
    x = 17,688,468,004/60,527
  6. Step 6: Final answer
    x = 292,240.95

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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.