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Finding the Third Proportional to 107,011.13 and 253,071

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Solution

The third proportional to 107,011.13 and 253,071 is: 598,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,011.13 : 253,071 = 253,071 : x
  2. Step 2: Convert to fraction form
    107,011.13/253,071 = 253,071/x
  3. Step 3: Cross multiply
    107,011.13x = 253,071 × 253,071
  4. Step 4: Simplify right side
    107,011.13x = 64,044,931,041
  5. Step 5: Solve for x
    x = 64,044,931,041/107,011.13
  6. Step 6: Final answer
    x = 598,488.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.