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Finding the Third Proportional to 47,210 and 72,454

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Solution

The third proportional to 47,210 and 72,454 is: 111,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,210 : 72,454 = 72,454 : x
  2. Step 2: Convert to fraction form
    47,210/72,454 = 72,454/x
  3. Step 3: Cross multiply
    47,210x = 72,454 × 72,454
  4. Step 4: Simplify right side
    47,210x = 5,249,582,116
  5. Step 5: Solve for x
    x = 5,249,582,116/47,210
  6. Step 6: Final answer
    x = 111,196.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.