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Finding the Third Proportional to 64,970 and 100,335

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Solution

The third proportional to 64,970 and 100,335 is: 154,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970 : 100,335 = 100,335 : x
  2. Step 2: Convert to fraction form
    64,970/100,335 = 100,335/x
  3. Step 3: Cross multiply
    64,970x = 100,335 × 100,335
  4. Step 4: Simplify right side
    64,970x = 10,067,112,225
  5. Step 5: Solve for x
    x = 10,067,112,225/64,970
  6. Step 6: Final answer
    x = 154,950.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.