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Finding the Third Proportional to 29,102 and 46,154

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Solution

The third proportional to 29,102 and 46,154 is: 73,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,102 : 46,154 = 46,154 : x
  2. Step 2: Convert to fraction form
    29,102/46,154 = 46,154/x
  3. Step 3: Cross multiply
    29,102x = 46,154 × 46,154
  4. Step 4: Simplify right side
    29,102x = 2,130,191,716
  5. Step 5: Solve for x
    x = 2,130,191,716/29,102
  6. Step 6: Final answer
    x = 73,197.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.