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Finding the Third Proportional to 52,708 and 77,088

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Solution

The third proportional to 52,708 and 77,088 is: 112,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,708 : 77,088 = 77,088 : x
  2. Step 2: Convert to fraction form
    52,708/77,088 = 77,088/x
  3. Step 3: Cross multiply
    52,708x = 77,088 × 77,088
  4. Step 4: Simplify right side
    52,708x = 5,942,559,744
  5. Step 5: Solve for x
    x = 5,942,559,744/52,708
  6. Step 6: Final answer
    x = 112,744.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.