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Finding the Third Proportional to 113,428 and 167,010

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Solution

The third proportional to 113,428 and 167,010 is: 245,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,428 : 167,010 = 167,010 : x
  2. Step 2: Convert to fraction form
    113,428/167,010 = 167,010/x
  3. Step 3: Cross multiply
    113,428x = 167,010 × 167,010
  4. Step 4: Simplify right side
    113,428x = 27,892,340,100
  5. Step 5: Solve for x
    x = 27,892,340,100/113,428
  6. Step 6: Final answer
    x = 245,903.48

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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.