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Finding the Third Proportional to 117,972 and 254,712

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Solution

The third proportional to 117,972 and 254,712 is: 549,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,972 : 254,712 = 254,712 : x
  2. Step 2: Convert to fraction form
    117,972/254,712 = 254,712/x
  3. Step 3: Cross multiply
    117,972x = 254,712 × 254,712
  4. Step 4: Simplify right side
    117,972x = 64,878,202,944
  5. Step 5: Solve for x
    x = 64,878,202,944/117,972
  6. Step 6: Final answer
    x = 549,945.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.