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Finding the Third Proportional to 88,105 and 141,862.50

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Solution

The third proportional to 88,105 and 141,862.50 is: 228,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,105 : 141,862.50 = 141,862.50 : x
  2. Step 2: Convert to fraction form
    88,105/141,862.50 = 141,862.50/x
  3. Step 3: Cross multiply
    88,105x = 141,862.50 × 141,862.50
  4. Step 4: Simplify right side
    88,105x = 20,124,968,906.25
  5. Step 5: Solve for x
    x = 20,124,968,906.25/88,105
  6. Step 6: Final answer
    x = 228,420.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.