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Finding the Third Proportional to 105,386 and 160,755

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Solution

The third proportional to 105,386 and 160,755 is: 245,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,386 : 160,755 = 160,755 : x
  2. Step 2: Convert to fraction form
    105,386/160,755 = 160,755/x
  3. Step 3: Cross multiply
    105,386x = 160,755 × 160,755
  4. Step 4: Simplify right side
    105,386x = 25,842,170,025
  5. Step 5: Solve for x
    x = 25,842,170,025/105,386
  6. Step 6: Final answer
    x = 245,214.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.