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Finding the Third Proportional to 124,922.25 and 164,011.50

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Solution

The third proportional to 124,922.25 and 164,011.50 is: 215,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,922.25 : 164,011.50 = 164,011.50 : x
  2. Step 2: Convert to fraction form
    124,922.25/164,011.50 = 164,011.50/x
  3. Step 3: Cross multiply
    124,922.25x = 164,011.50 × 164,011.50
  4. Step 4: Simplify right side
    124,922.25x = 26,899,772,132.25
  5. Step 5: Solve for x
    x = 26,899,772,132.25/124,922.25
  6. Step 6: Final answer
    x = 215,332.11

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.