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Finding the Third Proportional to 58,312 and 126,128

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Solution

The third proportional to 58,312 and 126,128 is: 272,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,312 : 126,128 = 126,128 : x
  2. Step 2: Convert to fraction form
    58,312/126,128 = 126,128/x
  3. Step 3: Cross multiply
    58,312x = 126,128 × 126,128
  4. Step 4: Simplify right side
    58,312x = 15,908,272,384
  5. Step 5: Solve for x
    x = 15,908,272,384/58,312
  6. Step 6: Final answer
    x = 272,813.01

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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.