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Finding the Third Proportional to 105,390 and 160,711

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Solution

The third proportional to 105,390 and 160,711 is: 245,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,390 : 160,711 = 160,711 : x
  2. Step 2: Convert to fraction form
    105,390/160,711 = 160,711/x
  3. Step 3: Cross multiply
    105,390x = 160,711 × 160,711
  4. Step 4: Simplify right side
    105,390x = 25,828,025,521
  5. Step 5: Solve for x
    x = 25,828,025,521/105,390
  6. Step 6: Final answer
    x = 245,070.93

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