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Finding the Third Proportional to 61,378.50 and 97,038

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Solution

The third proportional to 61,378.50 and 97,038 is: 153,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,378.50 : 97,038 = 97,038 : x
  2. Step 2: Convert to fraction form
    61,378.50/97,038 = 97,038/x
  3. Step 3: Cross multiply
    61,378.50x = 97,038 × 97,038
  4. Step 4: Simplify right side
    61,378.50x = 9,416,373,444
  5. Step 5: Solve for x
    x = 9,416,373,444/61,378.50
  6. Step 6: Final answer
    x = 153,414.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.