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Finding the Third Proportional to 43,604 and 97,078

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Solution

The third proportional to 43,604 and 97,078 is: 216,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,604 : 97,078 = 97,078 : x
  2. Step 2: Convert to fraction form
    43,604/97,078 = 97,078/x
  3. Step 3: Cross multiply
    43,604x = 97,078 × 97,078
  4. Step 4: Simplify right side
    43,604x = 9,424,138,084
  5. Step 5: Solve for x
    x = 9,424,138,084/43,604
  6. Step 6: Final answer
    x = 216,130.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.