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Finding the Third Proportional to 74,876.63 and 162,875.25

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Solution

The third proportional to 74,876.63 and 162,875.25 is: 354,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,876.63 : 162,875.25 = 162,875.25 : x
  2. Step 2: Convert to fraction form
    74,876.63/162,875.25 = 162,875.25/x
  3. Step 3: Cross multiply
    74,876.63x = 162,875.25 × 162,875.25
  4. Step 4: Simplify right side
    74,876.63x = 26,528,347,062.56
  5. Step 5: Solve for x
    x = 26,528,347,062.56/74,876.63
  6. Step 6: Final answer
    x = 354,294.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.