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Finding the Third Proportional to 65,296.13 and 97,701.19

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Solution

The third proportional to 65,296.13 and 97,701.19 is: 146,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,296.13 : 97,701.19 = 97,701.19 : x
  2. Step 2: Convert to fraction form
    65,296.13/97,701.19 = 97,701.19/x
  3. Step 3: Cross multiply
    65,296.13x = 97,701.19 × 97,701.19
  4. Step 4: Simplify right side
    65,296.13x = 9,545,522,038.91
  5. Step 5: Solve for x
    x = 9,545,522,038.91/65,296.13
  6. Step 6: Final answer
    x = 146,188.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.