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Finding the Third Proportional to 108,569.74 and 164,700.21

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Solution

The third proportional to 108,569.74 and 164,700.21 is: 249,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,569.74 : 164,700.21 = 164,700.21 : x
  2. Step 2: Convert to fraction form
    108,569.74/164,700.21 = 164,700.21/x
  3. Step 3: Cross multiply
    108,569.74x = 164,700.21 × 164,700.21
  4. Step 4: Simplify right side
    108,569.74x = 27,126,159,482.86
  5. Step 5: Solve for x
    x = 27,126,159,482.86/108,569.74
  6. Step 6: Final answer
    x = 249,850.09

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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.