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Finding the Third Proportional to 104,482.41 and 161,432.16

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Solution

The third proportional to 104,482.41 and 161,432.16 is: 249,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,482.41 : 161,432.16 = 161,432.16 : x
  2. Step 2: Convert to fraction form
    104,482.41/161,432.16 = 161,432.16/x
  3. Step 3: Cross multiply
    104,482.41x = 161,432.16 × 161,432.16
  4. Step 4: Simplify right side
    104,482.41x = 26,060,341,071.52
  5. Step 5: Solve for x
    x = 26,060,341,071.52/104,482.41
  6. Step 6: Final answer
    x = 249,423.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.