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Finding the Third Proportional to 46,712 and 70,115

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Solution

The third proportional to 46,712 and 70,115 is: 105,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712 : 70,115 = 70,115 : x
  2. Step 2: Convert to fraction form
    46,712/70,115 = 70,115/x
  3. Step 3: Cross multiply
    46,712x = 70,115 × 70,115
  4. Step 4: Simplify right side
    46,712x = 4,916,113,225
  5. Step 5: Solve for x
    x = 4,916,113,225/46,712
  6. Step 6: Final answer
    x = 105,243.05

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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.