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Finding the Third Proportional to 46,202 and 97,924

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Solution

The third proportional to 46,202 and 97,924 is: 207,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,202 : 97,924 = 97,924 : x
  2. Step 2: Convert to fraction form
    46,202/97,924 = 97,924/x
  3. Step 3: Cross multiply
    46,202x = 97,924 × 97,924
  4. Step 4: Simplify right side
    46,202x = 9,589,109,776
  5. Step 5: Solve for x
    x = 9,589,109,776/46,202
  6. Step 6: Final answer
    x = 207,547.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.