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Finding the Third Proportional to 65,341.69 and 96,098.63

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Solution

The third proportional to 65,341.69 and 96,098.63 is: 141,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,341.69 : 96,098.63 = 96,098.63 : x
  2. Step 2: Convert to fraction form
    65,341.69/96,098.63 = 96,098.63/x
  3. Step 3: Cross multiply
    65,341.69x = 96,098.63 × 96,098.63
  4. Step 4: Simplify right side
    65,341.69x = 9,234,945,726.89
  5. Step 5: Solve for x
    x = 9,234,945,726.89/65,341.69
  6. Step 6: Final answer
    x = 141,333.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.