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Finding the Third Proportional to 46,875 and 101,117

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Solution

The third proportional to 46,875 and 101,117 is: 218,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,875 : 101,117 = 101,117 : x
  2. Step 2: Convert to fraction form
    46,875/101,117 = 101,117/x
  3. Step 3: Cross multiply
    46,875x = 101,117 × 101,117
  4. Step 4: Simplify right side
    46,875x = 10,224,647,689
  5. Step 5: Solve for x
    x = 10,224,647,689/46,875
  6. Step 6: Final answer
    x = 218,125.82

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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.