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Finding the Third Proportional to 60,117 and 93,814

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Solution

The third proportional to 60,117 and 93,814 is: 146,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,117 : 93,814 = 93,814 : x
  2. Step 2: Convert to fraction form
    60,117/93,814 = 93,814/x
  3. Step 3: Cross multiply
    60,117x = 93,814 × 93,814
  4. Step 4: Simplify right side
    60,117x = 8,801,066,596
  5. Step 5: Solve for x
    x = 8,801,066,596/60,117
  6. Step 6: Final answer
    x = 146,398.97

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