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Finding the Third Proportional to 107,128.83 and 169,492.50

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Solution

The third proportional to 107,128.83 and 169,492.50 is: 268,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,128.83 : 169,492.50 = 169,492.50 : x
  2. Step 2: Convert to fraction form
    107,128.83/169,492.50 = 169,492.50/x
  3. Step 3: Cross multiply
    107,128.83x = 169,492.50 × 169,492.50
  4. Step 4: Simplify right side
    107,128.83x = 28,727,707,556.25
  5. Step 5: Solve for x
    x = 28,727,707,556.25/107,128.83
  6. Step 6: Final answer
    x = 268,160.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.