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Finding the Third Proportional to 56,664.84 and 124,228.13

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Solution

The third proportional to 56,664.84 and 124,228.13 is: 272,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,664.84 : 124,228.13 = 124,228.13 : x
  2. Step 2: Convert to fraction form
    56,664.84/124,228.13 = 124,228.13/x
  3. Step 3: Cross multiply
    56,664.84x = 124,228.13 × 124,228.13
  4. Step 4: Simplify right side
    56,664.84x = 15,432,627,041.02
  5. Step 5: Solve for x
    x = 15,432,627,041.02/56,664.84
  6. Step 6: Final answer
    x = 272,349.24

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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.