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Finding the Third Proportional to 78,224 and 112,097

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Solution

The third proportional to 78,224 and 112,097 is: 160,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,224 : 112,097 = 112,097 : x
  2. Step 2: Convert to fraction form
    78,224/112,097 = 112,097/x
  3. Step 3: Cross multiply
    78,224x = 112,097 × 112,097
  4. Step 4: Simplify right side
    78,224x = 12,565,737,409
  5. Step 5: Solve for x
    x = 12,565,737,409/78,224
  6. Step 6: Final answer
    x = 160,637.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.