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Finding the Third Proportional to 45,312 and 69,988

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Solution

The third proportional to 45,312 and 69,988 is: 108,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 69,988 = 69,988 : x
  2. Step 2: Convert to fraction form
    45,312/69,988 = 69,988/x
  3. Step 3: Cross multiply
    45,312x = 69,988 × 69,988
  4. Step 4: Simplify right side
    45,312x = 4,898,320,144
  5. Step 5: Solve for x
    x = 4,898,320,144/45,312
  6. Step 6: Final answer
    x = 108,102.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.