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Finding the Third Proportional to 88,587 and 187,177.50

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Solution

The third proportional to 88,587 and 187,177.50 is: 395,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,587 : 187,177.50 = 187,177.50 : x
  2. Step 2: Convert to fraction form
    88,587/187,177.50 = 187,177.50/x
  3. Step 3: Cross multiply
    88,587x = 187,177.50 × 187,177.50
  4. Step 4: Simplify right side
    88,587x = 35,035,416,506.25
  5. Step 5: Solve for x
    x = 35,035,416,506.25/88,587
  6. Step 6: Final answer
    x = 395,491.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.