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Finding the Third Proportional to 72,699 and 97,690.50

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Solution

The third proportional to 72,699 and 97,690.50 is: 131,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,699 : 97,690.50 = 97,690.50 : x
  2. Step 2: Convert to fraction form
    72,699/97,690.50 = 97,690.50/x
  3. Step 3: Cross multiply
    72,699x = 97,690.50 × 97,690.50
  4. Step 4: Simplify right side
    72,699x = 9,543,433,790.25
  5. Step 5: Solve for x
    x = 9,543,433,790.25/72,699
  6. Step 6: Final answer
    x = 131,273.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.