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Finding the Third Proportional to 90,816.19 and 157,276.69

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Solution

The third proportional to 90,816.19 and 157,276.69 is: 272,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,816.19 : 157,276.69 = 157,276.69 : x
  2. Step 2: Convert to fraction form
    90,816.19/157,276.69 = 157,276.69/x
  3. Step 3: Cross multiply
    90,816.19x = 157,276.69 × 157,276.69
  4. Step 4: Simplify right side
    90,816.19x = 24,735,956,430.97
  5. Step 5: Solve for x
    x = 24,735,956,430.97/90,816.19
  6. Step 6: Final answer
    x = 272,373.87

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.