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Finding the Third Proportional to 58,240.50 and 124,107

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Solution

The third proportional to 58,240.50 and 124,107 is: 264,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,240.50 : 124,107 = 124,107 : x
  2. Step 2: Convert to fraction form
    58,240.50/124,107 = 124,107/x
  3. Step 3: Cross multiply
    58,240.50x = 124,107 × 124,107
  4. Step 4: Simplify right side
    58,240.50x = 15,402,547,449
  5. Step 5: Solve for x
    x = 15,402,547,449/58,240.50
  6. Step 6: Final answer
    x = 264,464.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.