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Finding the Third Proportional to 40,259 and 59,157

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Solution

The third proportional to 40,259 and 59,157 is: 86,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,259 : 59,157 = 59,157 : x
  2. Step 2: Convert to fraction form
    40,259/59,157 = 59,157/x
  3. Step 3: Cross multiply
    40,259x = 59,157 × 59,157
  4. Step 4: Simplify right side
    40,259x = 3,499,550,649
  5. Step 5: Solve for x
    x = 3,499,550,649/40,259
  6. Step 6: Final answer
    x = 86,925.92

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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.