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Finding the Third Proportional to 46,053 and 82,629

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Solution

The third proportional to 46,053 and 82,629 is: 148,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,053 : 82,629 = 82,629 : x
  2. Step 2: Convert to fraction form
    46,053/82,629 = 82,629/x
  3. Step 3: Cross multiply
    46,053x = 82,629 × 82,629
  4. Step 4: Simplify right side
    46,053x = 6,827,551,641
  5. Step 5: Solve for x
    x = 6,827,551,641/46,053
  6. Step 6: Final answer
    x = 148,254.22

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.