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Finding the Third Proportional to 87,952 and 207,407.50

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Solution

The third proportional to 87,952 and 207,407.50 is: 489,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,952 : 207,407.50 = 207,407.50 : x
  2. Step 2: Convert to fraction form
    87,952/207,407.50 = 207,407.50/x
  3. Step 3: Cross multiply
    87,952x = 207,407.50 × 207,407.50
  4. Step 4: Simplify right side
    87,952x = 43,017,871,056.25
  5. Step 5: Solve for x
    x = 43,017,871,056.25/87,952
  6. Step 6: Final answer
    x = 489,106.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.