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Finding the Third Proportional to 47,301 and 70,541

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Solution

The third proportional to 47,301 and 70,541 is: 105,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,301 : 70,541 = 70,541 : x
  2. Step 2: Convert to fraction form
    47,301/70,541 = 70,541/x
  3. Step 3: Cross multiply
    47,301x = 70,541 × 70,541
  4. Step 4: Simplify right side
    47,301x = 4,976,032,681
  5. Step 5: Solve for x
    x = 4,976,032,681/47,301
  6. Step 6: Final answer
    x = 105,199.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.