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Finding the Third Proportional to 48,080 and 75,784

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Solution

The third proportional to 48,080 and 75,784 is: 119,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,080 : 75,784 = 75,784 : x
  2. Step 2: Convert to fraction form
    48,080/75,784 = 75,784/x
  3. Step 3: Cross multiply
    48,080x = 75,784 × 75,784
  4. Step 4: Simplify right side
    48,080x = 5,743,214,656
  5. Step 5: Solve for x
    x = 5,743,214,656/48,080
  6. Step 6: Final answer
    x = 119,451.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.