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Finding the Third Proportional to 60,163 and 93,527

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Solution

The third proportional to 60,163 and 93,527 is: 145,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,163 : 93,527 = 93,527 : x
  2. Step 2: Convert to fraction form
    60,163/93,527 = 93,527/x
  3. Step 3: Cross multiply
    60,163x = 93,527 × 93,527
  4. Step 4: Simplify right side
    60,163x = 8,747,299,729
  5. Step 5: Solve for x
    x = 8,747,299,729/60,163
  6. Step 6: Final answer
    x = 145,393.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.