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Finding the Third Proportional to 58,984 and 127,354

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Solution

The third proportional to 58,984 and 127,354 is: 274,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,984 : 127,354 = 127,354 : x
  2. Step 2: Convert to fraction form
    58,984/127,354 = 127,354/x
  3. Step 3: Cross multiply
    58,984x = 127,354 × 127,354
  4. Step 4: Simplify right side
    58,984x = 16,219,041,316
  5. Step 5: Solve for x
    x = 16,219,041,316/58,984
  6. Step 6: Final answer
    x = 274,973.57

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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.