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Finding the Third Proportional to 59,523 and 95,702

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Solution

The third proportional to 59,523 and 95,702 is: 153,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,523 : 95,702 = 95,702 : x
  2. Step 2: Convert to fraction form
    59,523/95,702 = 95,702/x
  3. Step 3: Cross multiply
    59,523x = 95,702 × 95,702
  4. Step 4: Simplify right side
    59,523x = 9,158,872,804
  5. Step 5: Solve for x
    x = 9,158,872,804/59,523
  6. Step 6: Final answer
    x = 153,871.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.