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Finding the Third Proportional to 113,818 and 172,292

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Solution

The third proportional to 113,818 and 172,292 is: 260,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,818 : 172,292 = 172,292 : x
  2. Step 2: Convert to fraction form
    113,818/172,292 = 172,292/x
  3. Step 3: Cross multiply
    113,818x = 172,292 × 172,292
  4. Step 4: Simplify right side
    113,818x = 29,684,533,264
  5. Step 5: Solve for x
    x = 29,684,533,264/113,818
  6. Step 6: Final answer
    x = 260,807.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.