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Finding the Third Proportional to 103,323.38 and 157,948.88

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Solution

The third proportional to 103,323.38 and 157,948.88 is: 241,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,323.38 : 157,948.88 = 157,948.88 : x
  2. Step 2: Convert to fraction form
    103,323.38/157,948.88 = 157,948.88/x
  3. Step 3: Cross multiply
    103,323.38x = 157,948.88 × 157,948.88
  4. Step 4: Simplify right side
    103,323.38x = 24,947,847,113.77
  5. Step 5: Solve for x
    x = 24,947,847,113.77/103,323.38
  6. Step 6: Final answer
    x = 241,454.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.