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Finding the Third Proportional to 71,454 and 105,043

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Solution

The third proportional to 71,454 and 105,043 is: 154,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,454 : 105,043 = 105,043 : x
  2. Step 2: Convert to fraction form
    71,454/105,043 = 105,043/x
  3. Step 3: Cross multiply
    71,454x = 105,043 × 105,043
  4. Step 4: Simplify right side
    71,454x = 11,034,031,849
  5. Step 5: Solve for x
    x = 11,034,031,849/71,454
  6. Step 6: Final answer
    x = 154,421.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.