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Finding the Third Proportional to 58,850 and 127,528

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Solution

The third proportional to 58,850 and 127,528 is: 276,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,850 : 127,528 = 127,528 : x
  2. Step 2: Convert to fraction form
    58,850/127,528 = 127,528/x
  3. Step 3: Cross multiply
    58,850x = 127,528 × 127,528
  4. Step 4: Simplify right side
    58,850x = 16,263,390,784
  5. Step 5: Solve for x
    x = 16,263,390,784/58,850
  6. Step 6: Final answer
    x = 276,353.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.