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Finding the Third Proportional to 114,829.31 and 168,962.63

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Solution

The third proportional to 114,829.31 and 168,962.63 is: 248,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,829.31 : 168,962.63 = 168,962.63 : x
  2. Step 2: Convert to fraction form
    114,829.31/168,962.63 = 168,962.63/x
  3. Step 3: Cross multiply
    114,829.31x = 168,962.63 × 168,962.63
  4. Step 4: Simplify right side
    114,829.31x = 28,548,368,646.89
  5. Step 5: Solve for x
    x = 28,548,368,646.89/114,829.31
  6. Step 6: Final answer
    x = 248,615.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.