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Finding the Third Proportional to 141,525 and 209,641.50

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Solution

The third proportional to 141,525 and 209,641.50 is: 310,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,525 : 209,641.50 = 209,641.50 : x
  2. Step 2: Convert to fraction form
    141,525/209,641.50 = 209,641.50/x
  3. Step 3: Cross multiply
    141,525x = 209,641.50 × 209,641.50
  4. Step 4: Simplify right side
    141,525x = 43,949,558,522.25
  5. Step 5: Solve for x
    x = 43,949,558,522.25/141,525
  6. Step 6: Final answer
    x = 310,542.72

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.