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Finding the Third Proportional to 98,139 and 130,504.50

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Solution

The third proportional to 98,139 and 130,504.50 is: 173,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,139 : 130,504.50 = 130,504.50 : x
  2. Step 2: Convert to fraction form
    98,139/130,504.50 = 130,504.50/x
  3. Step 3: Cross multiply
    98,139x = 130,504.50 × 130,504.50
  4. Step 4: Simplify right side
    98,139x = 17,031,424,520.25
  5. Step 5: Solve for x
    x = 17,031,424,520.25/98,139
  6. Step 6: Final answer
    x = 173,543.90

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.