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Finding the Third Proportional to 48,095.75 and 105,416.50

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Solution

The third proportional to 48,095.75 and 105,416.50 is: 231,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,095.75 : 105,416.50 = 105,416.50 : x
  2. Step 2: Convert to fraction form
    48,095.75/105,416.50 = 105,416.50/x
  3. Step 3: Cross multiply
    48,095.75x = 105,416.50 × 105,416.50
  4. Step 4: Simplify right side
    48,095.75x = 11,112,638,472.25
  5. Step 5: Solve for x
    x = 11,112,638,472.25/48,095.75
  6. Step 6: Final answer
    x = 231,052.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.