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Finding the Third Proportional to 63,700 and 134,984

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Solution

The third proportional to 63,700 and 134,984 is: 286,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,700 : 134,984 = 134,984 : x
  2. Step 2: Convert to fraction form
    63,700/134,984 = 134,984/x
  3. Step 3: Cross multiply
    63,700x = 134,984 × 134,984
  4. Step 4: Simplify right side
    63,700x = 18,220,680,256
  5. Step 5: Solve for x
    x = 18,220,680,256/63,700
  6. Step 6: Final answer
    x = 286,038.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.