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Finding the Third Proportional to 47,246 and 70,746

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Solution

The third proportional to 47,246 and 70,746 is: 105,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,246 : 70,746 = 70,746 : x
  2. Step 2: Convert to fraction form
    47,246/70,746 = 70,746/x
  3. Step 3: Cross multiply
    47,246x = 70,746 × 70,746
  4. Step 4: Simplify right side
    47,246x = 5,004,996,516
  5. Step 5: Solve for x
    x = 5,004,996,516/47,246
  6. Step 6: Final answer
    x = 105,934.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.