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Finding the Third Proportional to 59,995 and 85,737

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Solution

The third proportional to 59,995 and 85,737 is: 122,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,995 : 85,737 = 85,737 : x
  2. Step 2: Convert to fraction form
    59,995/85,737 = 85,737/x
  3. Step 3: Cross multiply
    59,995x = 85,737 × 85,737
  4. Step 4: Simplify right side
    59,995x = 7,350,833,169
  5. Step 5: Solve for x
    x = 7,350,833,169/59,995
  6. Step 6: Final answer
    x = 122,524.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.