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Finding the Third Proportional to 59,248 and 129,978

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Solution

The third proportional to 59,248 and 129,978 is: 285,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,248 : 129,978 = 129,978 : x
  2. Step 2: Convert to fraction form
    59,248/129,978 = 129,978/x
  3. Step 3: Cross multiply
    59,248x = 129,978 × 129,978
  4. Step 4: Simplify right side
    59,248x = 16,894,280,484
  5. Step 5: Solve for x
    x = 16,894,280,484/59,248
  6. Step 6: Final answer
    x = 285,145.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.