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Finding the Third Proportional to 102,402 and 160,292.25

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Solution

The third proportional to 102,402 and 160,292.25 is: 250,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,402 : 160,292.25 = 160,292.25 : x
  2. Step 2: Convert to fraction form
    102,402/160,292.25 = 160,292.25/x
  3. Step 3: Cross multiply
    102,402x = 160,292.25 × 160,292.25
  4. Step 4: Simplify right side
    102,402x = 25,693,605,410.06
  5. Step 5: Solve for x
    x = 25,693,605,410.06/102,402
  6. Step 6: Final answer
    x = 250,909.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.