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Finding the Third Proportional to 92,768 and 138,909.50

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Solution

The third proportional to 92,768 and 138,909.50 is: 208,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,768 : 138,909.50 = 138,909.50 : x
  2. Step 2: Convert to fraction form
    92,768/138,909.50 = 138,909.50/x
  3. Step 3: Cross multiply
    92,768x = 138,909.50 × 138,909.50
  4. Step 4: Simplify right side
    92,768x = 19,295,849,190.25
  5. Step 5: Solve for x
    x = 19,295,849,190.25/92,768
  6. Step 6: Final answer
    x = 208,001.13

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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.