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Finding the Third Proportional to 60,109 and 93,565

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Solution

The third proportional to 60,109 and 93,565 is: 145,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,109 : 93,565 = 93,565 : x
  2. Step 2: Convert to fraction form
    60,109/93,565 = 93,565/x
  3. Step 3: Cross multiply
    60,109x = 93,565 × 93,565
  4. Step 4: Simplify right side
    60,109x = 8,754,409,225
  5. Step 5: Solve for x
    x = 8,754,409,225/60,109
  6. Step 6: Final answer
    x = 145,642.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.