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Finding the Third Proportional to 65,142 and 103,233.38

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Solution

The third proportional to 65,142 and 103,233.38 is: 163,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142 : 103,233.38 = 103,233.38 : x
  2. Step 2: Convert to fraction form
    65,142/103,233.38 = 103,233.38/x
  3. Step 3: Cross multiply
    65,142x = 103,233.38 × 103,233.38
  4. Step 4: Simplify right side
    65,142x = 10,657,129,713.89
  5. Step 5: Solve for x
    x = 10,657,129,713.89/65,142
  6. Step 6: Final answer
    x = 163,598.44

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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.