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Finding the Third Proportional to 62,969 and 97,503.50

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Solution

The third proportional to 62,969 and 97,503.50 is: 150,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,969 : 97,503.50 = 97,503.50 : x
  2. Step 2: Convert to fraction form
    62,969/97,503.50 = 97,503.50/x
  3. Step 3: Cross multiply
    62,969x = 97,503.50 × 97,503.50
  4. Step 4: Simplify right side
    62,969x = 9,506,932,512.25
  5. Step 5: Solve for x
    x = 9,506,932,512.25/62,969
  6. Step 6: Final answer
    x = 150,977.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.