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Finding the Third Proportional to 66,836 and 97,246

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Solution

The third proportional to 66,836 and 97,246 is: 141,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,836 : 97,246 = 97,246 : x
  2. Step 2: Convert to fraction form
    66,836/97,246 = 97,246/x
  3. Step 3: Cross multiply
    66,836x = 97,246 × 97,246
  4. Step 4: Simplify right side
    66,836x = 9,456,784,516
  5. Step 5: Solve for x
    x = 9,456,784,516/66,836
  6. Step 6: Final answer
    x = 141,492.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.