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Finding the Third Proportional to 42,625.50 and 88,725

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Solution

The third proportional to 42,625.50 and 88,725 is: 184,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,625.50 : 88,725 = 88,725 : x
  2. Step 2: Convert to fraction form
    42,625.50/88,725 = 88,725/x
  3. Step 3: Cross multiply
    42,625.50x = 88,725 × 88,725
  4. Step 4: Simplify right side
    42,625.50x = 7,872,125,625
  5. Step 5: Solve for x
    x = 7,872,125,625/42,625.50
  6. Step 6: Final answer
    x = 184,681.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.