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Finding the Third Proportional to 75,897.42 and 111,385.55

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Solution

The third proportional to 75,897.42 and 111,385.55 is: 163,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,897.42 : 111,385.55 = 111,385.55 : x
  2. Step 2: Convert to fraction form
    75,897.42/111,385.55 = 111,385.55/x
  3. Step 3: Cross multiply
    75,897.42x = 111,385.55 × 111,385.55
  4. Step 4: Simplify right side
    75,897.42x = 12,406,740,052.64
  5. Step 5: Solve for x
    x = 12,406,740,052.64/75,897.42
  6. Step 6: Final answer
    x = 163,467.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.