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Finding the Third Proportional to 64,486.13 and 97,443

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Solution

The third proportional to 64,486.13 and 97,443 is: 147,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,486.13 : 97,443 = 97,443 : x
  2. Step 2: Convert to fraction form
    64,486.13/97,443 = 97,443/x
  3. Step 3: Cross multiply
    64,486.13x = 97,443 × 97,443
  4. Step 4: Simplify right side
    64,486.13x = 9,495,138,249
  5. Step 5: Solve for x
    x = 9,495,138,249/64,486.13
  6. Step 6: Final answer
    x = 147,243.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.