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Finding the Third Proportional to 65,129.06 and 97,419.94

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Solution

The third proportional to 65,129.06 and 97,419.94 is: 145,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129.06 : 97,419.94 = 97,419.94 : x
  2. Step 2: Convert to fraction form
    65,129.06/97,419.94 = 97,419.94/x
  3. Step 3: Cross multiply
    65,129.06x = 97,419.94 × 97,419.94
  4. Step 4: Simplify right side
    65,129.06x = 9,490,644,222.50
  5. Step 5: Solve for x
    x = 9,490,644,222.50/65,129.06
  6. Step 6: Final answer
    x = 145,720.57

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Why These Related Problems?

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