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Finding the Third Proportional to 107,913 and 169,283

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Solution

The third proportional to 107,913 and 169,283 is: 265,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,913 : 169,283 = 169,283 : x
  2. Step 2: Convert to fraction form
    107,913/169,283 = 169,283/x
  3. Step 3: Cross multiply
    107,913x = 169,283 × 169,283
  4. Step 4: Simplify right side
    107,913x = 28,656,734,089
  5. Step 5: Solve for x
    x = 28,656,734,089/107,913
  6. Step 6: Final answer
    x = 265,554.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.