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Finding the Third Proportional to 46,579 and 101,035

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Solution

The third proportional to 46,579 and 101,035 is: 219,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,579 : 101,035 = 101,035 : x
  2. Step 2: Convert to fraction form
    46,579/101,035 = 101,035/x
  3. Step 3: Cross multiply
    46,579x = 101,035 × 101,035
  4. Step 4: Simplify right side
    46,579x = 10,208,071,225
  5. Step 5: Solve for x
    x = 10,208,071,225/46,579
  6. Step 6: Final answer
    x = 219,156.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.