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Finding the Third Proportional to 88,948.13 and 139,254.19

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Solution

The third proportional to 88,948.13 and 139,254.19 is: 218,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,948.13 : 139,254.19 = 139,254.19 : x
  2. Step 2: Convert to fraction form
    88,948.13/139,254.19 = 139,254.19/x
  3. Step 3: Cross multiply
    88,948.13x = 139,254.19 × 139,254.19
  4. Step 4: Simplify right side
    88,948.13x = 19,391,728,736.29
  5. Step 5: Solve for x
    x = 19,391,728,736.29/88,948.13
  6. Step 6: Final answer
    x = 218,011.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.