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Finding the Third Proportional to 46,356 and 100,102.50

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Solution

The third proportional to 46,356 and 100,102.50 is: 216,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,356 : 100,102.50 = 100,102.50 : x
  2. Step 2: Convert to fraction form
    46,356/100,102.50 = 100,102.50/x
  3. Step 3: Cross multiply
    46,356x = 100,102.50 × 100,102.50
  4. Step 4: Simplify right side
    46,356x = 10,020,510,506.25
  5. Step 5: Solve for x
    x = 10,020,510,506.25/46,356
  6. Step 6: Final answer
    x = 216,164.26

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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.