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Finding the Third Proportional to 46,735 and 101,358

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Solution

The third proportional to 46,735 and 101,358 is: 219,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,735 : 101,358 = 101,358 : x
  2. Step 2: Convert to fraction form
    46,735/101,358 = 101,358/x
  3. Step 3: Cross multiply
    46,735x = 101,358 × 101,358
  4. Step 4: Simplify right side
    46,735x = 10,273,444,164
  5. Step 5: Solve for x
    x = 10,273,444,164/46,735
  6. Step 6: Final answer
    x = 219,823.35

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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.