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Finding the Third Proportional to 49,159 and 75,565

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Solution

The third proportional to 49,159 and 75,565 is: 116,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,159 : 75,565 = 75,565 : x
  2. Step 2: Convert to fraction form
    49,159/75,565 = 75,565/x
  3. Step 3: Cross multiply
    49,159x = 75,565 × 75,565
  4. Step 4: Simplify right side
    49,159x = 5,710,069,225
  5. Step 5: Solve for x
    x = 5,710,069,225/49,159
  6. Step 6: Final answer
    x = 116,155.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.