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Finding the Third Proportional to 114,527 and 173,046

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Solution

The third proportional to 114,527 and 173,046 is: 261,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,527 : 173,046 = 173,046 : x
  2. Step 2: Convert to fraction form
    114,527/173,046 = 173,046/x
  3. Step 3: Cross multiply
    114,527x = 173,046 × 173,046
  4. Step 4: Simplify right side
    114,527x = 29,944,918,116
  5. Step 5: Solve for x
    x = 29,944,918,116/114,527
  6. Step 6: Final answer
    x = 261,466.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.