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Finding the Third Proportional to 113,044 and 174,959

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Solution

The third proportional to 113,044 and 174,959 is: 270,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,044 : 174,959 = 174,959 : x
  2. Step 2: Convert to fraction form
    113,044/174,959 = 174,959/x
  3. Step 3: Cross multiply
    113,044x = 174,959 × 174,959
  4. Step 4: Simplify right side
    113,044x = 30,610,651,681
  5. Step 5: Solve for x
    x = 30,610,651,681/113,044
  6. Step 6: Final answer
    x = 270,785.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.