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Finding the Third Proportional to 66,894 and 91,113

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Solution

The third proportional to 66,894 and 91,113 is: 124,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,894 : 91,113 = 91,113 : x
  2. Step 2: Convert to fraction form
    66,894/91,113 = 91,113/x
  3. Step 3: Cross multiply
    66,894x = 91,113 × 91,113
  4. Step 4: Simplify right side
    66,894x = 8,301,578,769
  5. Step 5: Solve for x
    x = 8,301,578,769/66,894
  6. Step 6: Final answer
    x = 124,100.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.