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Finding the Third Proportional to 113,946 and 176,892

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Solution

The third proportional to 113,946 and 176,892 is: 274,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,946 : 176,892 = 176,892 : x
  2. Step 2: Convert to fraction form
    113,946/176,892 = 176,892/x
  3. Step 3: Cross multiply
    113,946x = 176,892 × 176,892
  4. Step 4: Simplify right side
    113,946x = 31,290,779,664
  5. Step 5: Solve for x
    x = 31,290,779,664/113,946
  6. Step 6: Final answer
    x = 274,610.60

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