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Finding the Third Proportional to 62,420.88 and 97,814.88

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Solution

The third proportional to 62,420.88 and 97,814.88 is: 153,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,420.88 : 97,814.88 = 97,814.88 : x
  2. Step 2: Convert to fraction form
    62,420.88/97,814.88 = 97,814.88/x
  3. Step 3: Cross multiply
    62,420.88x = 97,814.88 × 97,814.88
  4. Step 4: Simplify right side
    62,420.88x = 9,567,749,771.27
  5. Step 5: Solve for x
    x = 9,567,749,771.27/62,420.88
  6. Step 6: Final answer
    x = 153,278.05

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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.