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Finding the Third Proportional to 65,708.24 and 102,941.35

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Solution

The third proportional to 65,708.24 and 102,941.35 is: 161,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,708.24 : 102,941.35 = 102,941.35 : x
  2. Step 2: Convert to fraction form
    65,708.24/102,941.35 = 102,941.35/x
  3. Step 3: Cross multiply
    65,708.24x = 102,941.35 × 102,941.35
  4. Step 4: Simplify right side
    65,708.24x = 10,596,921,459.40
  5. Step 5: Solve for x
    x = 10,596,921,459.40/65,708.24
  6. Step 6: Final answer
    x = 161,272.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.