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Finding the Third Proportional to 103,938.75 and 156,844.13

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Solution

The third proportional to 103,938.75 and 156,844.13 is: 236,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,938.75 : 156,844.13 = 156,844.13 : x
  2. Step 2: Convert to fraction form
    103,938.75/156,844.13 = 156,844.13/x
  3. Step 3: Cross multiply
    103,938.75x = 156,844.13 × 156,844.13
  4. Step 4: Simplify right side
    103,938.75x = 24,600,079,547.02
  5. Step 5: Solve for x
    x = 24,600,079,547.02/103,938.75
  6. Step 6: Final answer
    x = 236,678.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.