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Finding the Third Proportional to 46,466 and 70,131

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Solution

The third proportional to 46,466 and 70,131 is: 105,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466 : 70,131 = 70,131 : x
  2. Step 2: Convert to fraction form
    46,466/70,131 = 70,131/x
  3. Step 3: Cross multiply
    46,466x = 70,131 × 70,131
  4. Step 4: Simplify right side
    46,466x = 4,918,357,161
  5. Step 5: Solve for x
    x = 4,918,357,161/46,466
  6. Step 6: Final answer
    x = 105,848.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.