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Finding the Third Proportional to 61,213 and 91,534

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Solution

The third proportional to 61,213 and 91,534 is: 136,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,213 : 91,534 = 91,534 : x
  2. Step 2: Convert to fraction form
    61,213/91,534 = 91,534/x
  3. Step 3: Cross multiply
    61,213x = 91,534 × 91,534
  4. Step 4: Simplify right side
    61,213x = 8,378,473,156
  5. Step 5: Solve for x
    x = 8,378,473,156/61,213
  6. Step 6: Final answer
    x = 136,874.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.