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Finding the Third Proportional to 58,875 and 127,410

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Solution

The third proportional to 58,875 and 127,410 is: 275,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,875 : 127,410 = 127,410 : x
  2. Step 2: Convert to fraction form
    58,875/127,410 = 127,410/x
  3. Step 3: Cross multiply
    58,875x = 127,410 × 127,410
  4. Step 4: Simplify right side
    58,875x = 16,233,308,100
  5. Step 5: Solve for x
    x = 16,233,308,100/58,875
  6. Step 6: Final answer
    x = 275,724.98

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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.