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Finding the Third Proportional to 114,116 and 151,455

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Solution

The third proportional to 114,116 and 151,455 is: 201,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,116 : 151,455 = 151,455 : x
  2. Step 2: Convert to fraction form
    114,116/151,455 = 151,455/x
  3. Step 3: Cross multiply
    114,116x = 151,455 × 151,455
  4. Step 4: Simplify right side
    114,116x = 22,938,617,025
  5. Step 5: Solve for x
    x = 22,938,617,025/114,116
  6. Step 6: Final answer
    x = 201,011.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.