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Finding the Third Proportional to 88,746.50 and 191,025

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Solution

The third proportional to 88,746.50 and 191,025 is: 411,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,746.50 : 191,025 = 191,025 : x
  2. Step 2: Convert to fraction form
    88,746.50/191,025 = 191,025/x
  3. Step 3: Cross multiply
    88,746.50x = 191,025 × 191,025
  4. Step 4: Simplify right side
    88,746.50x = 36,490,550,625
  5. Step 5: Solve for x
    x = 36,490,550,625/88,746.50
  6. Step 6: Final answer
    x = 411,177.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.