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Finding the Third Proportional to 105,386.50 and 160,705.75

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Solution

The third proportional to 105,386.50 and 160,705.75 is: 245,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,386.50 : 160,705.75 = 160,705.75 : x
  2. Step 2: Convert to fraction form
    105,386.50/160,705.75 = 160,705.75/x
  3. Step 3: Cross multiply
    105,386.50x = 160,705.75 × 160,705.75
  4. Step 4: Simplify right side
    105,386.50x = 25,826,338,083.06
  5. Step 5: Solve for x
    x = 25,826,338,083.06/105,386.50
  6. Step 6: Final answer
    x = 245,063.06

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Why These Related Problems?

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