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Finding the Third Proportional to 46,121 and 99,507

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Solution

The third proportional to 46,121 and 99,507 is: 214,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,121 : 99,507 = 99,507 : x
  2. Step 2: Convert to fraction form
    46,121/99,507 = 99,507/x
  3. Step 3: Cross multiply
    46,121x = 99,507 × 99,507
  4. Step 4: Simplify right side
    46,121x = 9,901,643,049
  5. Step 5: Solve for x
    x = 9,901,643,049/46,121
  6. Step 6: Final answer
    x = 214,688.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.