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Finding the Third Proportional to 46,750.50 and 70,119.75

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Solution

The third proportional to 46,750.50 and 70,119.75 is: 105,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,750.50 : 70,119.75 = 70,119.75 : x
  2. Step 2: Convert to fraction form
    46,750.50/70,119.75 = 70,119.75/x
  3. Step 3: Cross multiply
    46,750.50x = 70,119.75 × 70,119.75
  4. Step 4: Simplify right side
    46,750.50x = 4,916,779,340.06
  5. Step 5: Solve for x
    x = 4,916,779,340.06/46,750.50
  6. Step 6: Final answer
    x = 105,170.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.