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Finding the Third Proportional to 88,875 and 141,341

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Solution

The third proportional to 88,875 and 141,341 is: 224,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,875 : 141,341 = 141,341 : x
  2. Step 2: Convert to fraction form
    88,875/141,341 = 141,341/x
  3. Step 3: Cross multiply
    88,875x = 141,341 × 141,341
  4. Step 4: Simplify right side
    88,875x = 19,977,278,281
  5. Step 5: Solve for x
    x = 19,977,278,281/88,875
  6. Step 6: Final answer
    x = 224,779.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.