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Finding the Third Proportional to 107,032.69 and 235,252.13

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Solution

The third proportional to 107,032.69 and 235,252.13 is: 517,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,032.69 : 235,252.13 = 235,252.13 : x
  2. Step 2: Convert to fraction form
    107,032.69/235,252.13 = 235,252.13/x
  3. Step 3: Cross multiply
    107,032.69x = 235,252.13 × 235,252.13
  4. Step 4: Simplify right side
    107,032.69x = 55,343,562,317.02
  5. Step 5: Solve for x
    x = 55,343,562,317.02/107,032.69
  6. Step 6: Final answer
    x = 517,071.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.