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Finding the Third Proportional to 65,142 and 103,234.50

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Solution

The third proportional to 65,142 and 103,234.50 is: 163,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142 : 103,234.50 = 103,234.50 : x
  2. Step 2: Convert to fraction form
    65,142/103,234.50 = 103,234.50/x
  3. Step 3: Cross multiply
    65,142x = 103,234.50 × 103,234.50
  4. Step 4: Simplify right side
    65,142x = 10,657,361,990.25
  5. Step 5: Solve for x
    x = 10,657,361,990.25/65,142
  6. Step 6: Final answer
    x = 163,602.01

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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.