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Finding the Third Proportional to 56,698.25 and 124,169.50

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Solution

The third proportional to 56,698.25 and 124,169.50 is: 271,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,698.25 : 124,169.50 = 124,169.50 : x
  2. Step 2: Convert to fraction form
    56,698.25/124,169.50 = 124,169.50/x
  3. Step 3: Cross multiply
    56,698.25x = 124,169.50 × 124,169.50
  4. Step 4: Simplify right side
    56,698.25x = 15,418,064,730.25
  5. Step 5: Solve for x
    x = 15,418,064,730.25/56,698.25
  6. Step 6: Final answer
    x = 271,931.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.