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Finding the Third Proportional to 67,448.25 and 97,155

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Solution

The third proportional to 67,448.25 and 97,155 is: 139,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,448.25 : 97,155 = 97,155 : x
  2. Step 2: Convert to fraction form
    67,448.25/97,155 = 97,155/x
  3. Step 3: Cross multiply
    67,448.25x = 97,155 × 97,155
  4. Step 4: Simplify right side
    67,448.25x = 9,439,094,025
  5. Step 5: Solve for x
    x = 9,439,094,025/67,448.25
  6. Step 6: Final answer
    x = 139,945.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.