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Finding the Third Proportional to 48,534 and 77,178

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Solution

The third proportional to 48,534 and 77,178 is: 122,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,534 : 77,178 = 77,178 : x
  2. Step 2: Convert to fraction form
    48,534/77,178 = 77,178/x
  3. Step 3: Cross multiply
    48,534x = 77,178 × 77,178
  4. Step 4: Simplify right side
    48,534x = 5,956,443,684
  5. Step 5: Solve for x
    x = 5,956,443,684/48,534
  6. Step 6: Final answer
    x = 122,727.24

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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.