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Finding the Third Proportional to 61,680.23 and 92,267.86

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Solution

The third proportional to 61,680.23 and 92,267.86 is: 138,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,680.23 : 92,267.86 = 92,267.86 : x
  2. Step 2: Convert to fraction form
    61,680.23/92,267.86 = 92,267.86/x
  3. Step 3: Cross multiply
    61,680.23x = 92,267.86 × 92,267.86
  4. Step 4: Simplify right side
    61,680.23x = 8,513,357,873.64
  5. Step 5: Solve for x
    x = 8,513,357,873.64/61,680.23
  6. Step 6: Final answer
    x = 138,024.08

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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.