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Finding the Third Proportional to 69,575 and 148,988

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Solution

The third proportional to 69,575 and 148,988 is: 319,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,575 : 148,988 = 148,988 : x
  2. Step 2: Convert to fraction form
    69,575/148,988 = 148,988/x
  3. Step 3: Cross multiply
    69,575x = 148,988 × 148,988
  4. Step 4: Simplify right side
    69,575x = 22,197,424,144
  5. Step 5: Solve for x
    x = 22,197,424,144/69,575
  6. Step 6: Final answer
    x = 319,043.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.