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Finding the Third Proportional to 58,284 and 128,232

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Solution

The third proportional to 58,284 and 128,232 is: 282,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,284 : 128,232 = 128,232 : x
  2. Step 2: Convert to fraction form
    58,284/128,232 = 128,232/x
  3. Step 3: Cross multiply
    58,284x = 128,232 × 128,232
  4. Step 4: Simplify right side
    58,284x = 16,443,445,824
  5. Step 5: Solve for x
    x = 16,443,445,824/58,284
  6. Step 6: Final answer
    x = 282,126.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.