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Finding the Third Proportional to 98,012 and 138,025.13

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Solution

The third proportional to 98,012 and 138,025.13 is: 194,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,012 : 138,025.13 = 138,025.13 : x
  2. Step 2: Convert to fraction form
    98,012/138,025.13 = 138,025.13/x
  3. Step 3: Cross multiply
    98,012x = 138,025.13 × 138,025.13
  4. Step 4: Simplify right side
    98,012x = 19,050,935,131.27
  5. Step 5: Solve for x
    x = 19,050,935,131.27/98,012
  6. Step 6: Final answer
    x = 194,373.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.