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Finding the Third Proportional to 46,875.75 and 101,235

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Solution

The third proportional to 46,875.75 and 101,235 is: 218,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,875.75 : 101,235 = 101,235 : x
  2. Step 2: Convert to fraction form
    46,875.75/101,235 = 101,235/x
  3. Step 3: Cross multiply
    46,875.75x = 101,235 × 101,235
  4. Step 4: Simplify right side
    46,875.75x = 10,248,525,225
  5. Step 5: Solve for x
    x = 10,248,525,225/46,875.75
  6. Step 6: Final answer
    x = 218,631.71

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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.