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Finding the Third Proportional to 61,822 and 93,023

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Solution

The third proportional to 61,822 and 93,023 is: 139,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,822 : 93,023 = 93,023 : x
  2. Step 2: Convert to fraction form
    61,822/93,023 = 93,023/x
  3. Step 3: Cross multiply
    61,822x = 93,023 × 93,023
  4. Step 4: Simplify right side
    61,822x = 8,653,278,529
  5. Step 5: Solve for x
    x = 8,653,278,529/61,822
  6. Step 6: Final answer
    x = 139,970.86

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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.