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Finding the Third Proportional to 85,587 and 125,209.50

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Solution

The third proportional to 85,587 and 125,209.50 is: 183,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,587 : 125,209.50 = 125,209.50 : x
  2. Step 2: Convert to fraction form
    85,587/125,209.50 = 125,209.50/x
  3. Step 3: Cross multiply
    85,587x = 125,209.50 × 125,209.50
  4. Step 4: Simplify right side
    85,587x = 15,677,418,890.25
  5. Step 5: Solve for x
    x = 15,677,418,890.25/85,587
  6. Step 6: Final answer
    x = 183,175.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.