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Finding the Third Proportional to 107,509.46 and 170,798.63

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Solution

The third proportional to 107,509.46 and 170,798.63 is: 271,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,509.46 : 170,798.63 = 170,798.63 : x
  2. Step 2: Convert to fraction form
    107,509.46/170,798.63 = 170,798.63/x
  3. Step 3: Cross multiply
    107,509.46x = 170,798.63 × 170,798.63
  4. Step 4: Simplify right side
    107,509.46x = 29,172,170,301.89
  5. Step 5: Solve for x
    x = 29,172,170,301.89/107,509.46
  6. Step 6: Final answer
    x = 271,345.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.