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Finding the Third Proportional to 29,699 and 62,278

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Solution

The third proportional to 29,699 and 62,278 is: 130,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,699 : 62,278 = 62,278 : x
  2. Step 2: Convert to fraction form
    29,699/62,278 = 62,278/x
  3. Step 3: Cross multiply
    29,699x = 62,278 × 62,278
  4. Step 4: Simplify right side
    29,699x = 3,878,549,284
  5. Step 5: Solve for x
    x = 3,878,549,284/29,699
  6. Step 6: Final answer
    x = 130,595.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.