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Finding the Third Proportional to 59,229 and 139,819.13

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Solution

The third proportional to 59,229 and 139,819.13 is: 330,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,229 : 139,819.13 = 139,819.13 : x
  2. Step 2: Convert to fraction form
    59,229/139,819.13 = 139,819.13/x
  3. Step 3: Cross multiply
    59,229x = 139,819.13 × 139,819.13
  4. Step 4: Simplify right side
    59,229x = 19,549,387,715.77
  5. Step 5: Solve for x
    x = 19,549,387,715.77/59,229
  6. Step 6: Final answer
    x = 330,064.46

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