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Finding the Third Proportional to 48,416 and 77,088

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Solution

The third proportional to 48,416 and 77,088 is: 122,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,416 : 77,088 = 77,088 : x
  2. Step 2: Convert to fraction form
    48,416/77,088 = 77,088/x
  3. Step 3: Cross multiply
    48,416x = 77,088 × 77,088
  4. Step 4: Simplify right side
    48,416x = 5,942,559,744
  5. Step 5: Solve for x
    x = 5,942,559,744/48,416
  6. Step 6: Final answer
    x = 122,739.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.