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Finding the Third Proportional to 46,507 and 101,708

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Solution

The third proportional to 46,507 and 101,708 is: 222,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,507 : 101,708 = 101,708 : x
  2. Step 2: Convert to fraction form
    46,507/101,708 = 101,708/x
  3. Step 3: Cross multiply
    46,507x = 101,708 × 101,708
  4. Step 4: Simplify right side
    46,507x = 10,344,517,264
  5. Step 5: Solve for x
    x = 10,344,517,264/46,507
  6. Step 6: Final answer
    x = 222,429.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.