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Finding the Third Proportional to 83,604 and 130,954.50

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Solution

The third proportional to 83,604 and 130,954.50 is: 205,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,604 : 130,954.50 = 130,954.50 : x
  2. Step 2: Convert to fraction form
    83,604/130,954.50 = 130,954.50/x
  3. Step 3: Cross multiply
    83,604x = 130,954.50 × 130,954.50
  4. Step 4: Simplify right side
    83,604x = 17,149,081,070.25
  5. Step 5: Solve for x
    x = 17,149,081,070.25/83,604
  6. Step 6: Final answer
    x = 205,122.73

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