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Finding the Third Proportional to 107,746.50 and 170,527.50

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Solution

The third proportional to 107,746.50 and 170,527.50 is: 269,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,746.50 : 170,527.50 = 170,527.50 : x
  2. Step 2: Convert to fraction form
    107,746.50/170,527.50 = 170,527.50/x
  3. Step 3: Cross multiply
    107,746.50x = 170,527.50 × 170,527.50
  4. Step 4: Simplify right side
    107,746.50x = 29,079,628,256.25
  5. Step 5: Solve for x
    x = 29,079,628,256.25/107,746.50
  6. Step 6: Final answer
    x = 269,889.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.