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Finding the Third Proportional to 63,324 and 98,046

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Solution

The third proportional to 63,324 and 98,046 is: 151,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,324 : 98,046 = 98,046 : x
  2. Step 2: Convert to fraction form
    63,324/98,046 = 98,046/x
  3. Step 3: Cross multiply
    63,324x = 98,046 × 98,046
  4. Step 4: Simplify right side
    63,324x = 9,613,018,116
  5. Step 5: Solve for x
    x = 9,613,018,116/63,324
  6. Step 6: Final answer
    x = 151,806.87

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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.