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Finding the Third Proportional to 70,044 and 106,518

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Solution

The third proportional to 70,044 and 106,518 is: 161,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,044 : 106,518 = 106,518 : x
  2. Step 2: Convert to fraction form
    70,044/106,518 = 106,518/x
  3. Step 3: Cross multiply
    70,044x = 106,518 × 106,518
  4. Step 4: Simplify right side
    70,044x = 11,346,084,324
  5. Step 5: Solve for x
    x = 11,346,084,324/70,044
  6. Step 6: Final answer
    x = 161,985.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.