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Finding the Third Proportional to 121,074 and 239,038.50

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Solution

The third proportional to 121,074 and 239,038.50 is: 471,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,074 : 239,038.50 = 239,038.50 : x
  2. Step 2: Convert to fraction form
    121,074/239,038.50 = 239,038.50/x
  3. Step 3: Cross multiply
    121,074x = 239,038.50 × 239,038.50
  4. Step 4: Simplify right side
    121,074x = 57,139,404,482.25
  5. Step 5: Solve for x
    x = 57,139,404,482.25/121,074
  6. Step 6: Final answer
    x = 471,937.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.