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Finding the Third Proportional to 52,960 and 77,658

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Solution

The third proportional to 52,960 and 77,658 is: 113,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,960 : 77,658 = 77,658 : x
  2. Step 2: Convert to fraction form
    52,960/77,658 = 77,658/x
  3. Step 3: Cross multiply
    52,960x = 77,658 × 77,658
  4. Step 4: Simplify right side
    52,960x = 6,030,764,964
  5. Step 5: Solve for x
    x = 6,030,764,964/52,960
  6. Step 6: Final answer
    x = 113,873.96

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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.