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Finding the Third Proportional to 74,140.31 and 114,897.19

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Solution

The third proportional to 74,140.31 and 114,897.19 is: 178,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,140.31 : 114,897.19 = 114,897.19 : x
  2. Step 2: Convert to fraction form
    74,140.31/114,897.19 = 114,897.19/x
  3. Step 3: Cross multiply
    74,140.31x = 114,897.19 × 114,897.19
  4. Step 4: Simplify right side
    74,140.31x = 13,201,363,695.41
  5. Step 5: Solve for x
    x = 13,201,363,695.41/74,140.31
  6. Step 6: Final answer
    x = 178,059.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.