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Finding the Third Proportional to 45,216 and 97,120

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Solution

The third proportional to 45,216 and 97,120 is: 208,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,216 : 97,120 = 97,120 : x
  2. Step 2: Convert to fraction form
    45,216/97,120 = 97,120/x
  3. Step 3: Cross multiply
    45,216x = 97,120 × 97,120
  4. Step 4: Simplify right side
    45,216x = 9,432,294,400
  5. Step 5: Solve for x
    x = 9,432,294,400/45,216
  6. Step 6: Final answer
    x = 208,605.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.