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Finding the Third Proportional to 59,510 and 129,703

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Solution

The third proportional to 59,510 and 129,703 is: 282,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,510 : 129,703 = 129,703 : x
  2. Step 2: Convert to fraction form
    59,510/129,703 = 129,703/x
  3. Step 3: Cross multiply
    59,510x = 129,703 × 129,703
  4. Step 4: Simplify right side
    59,510x = 16,822,868,209
  5. Step 5: Solve for x
    x = 16,822,868,209/59,510
  6. Step 6: Final answer
    x = 282,689.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.