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Finding the Third Proportional to 114,752 and 165,276

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Solution

The third proportional to 114,752 and 165,276 is: 238,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,752 : 165,276 = 165,276 : x
  2. Step 2: Convert to fraction form
    114,752/165,276 = 165,276/x
  3. Step 3: Cross multiply
    114,752x = 165,276 × 165,276
  4. Step 4: Simplify right side
    114,752x = 27,316,156,176
  5. Step 5: Solve for x
    x = 27,316,156,176/114,752
  6. Step 6: Final answer
    x = 238,045.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.