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Finding the Third Proportional to 134,994 and 201,747

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Solution

The third proportional to 134,994 and 201,747 is: 301,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,994 : 201,747 = 201,747 : x
  2. Step 2: Convert to fraction form
    134,994/201,747 = 201,747/x
  3. Step 3: Cross multiply
    134,994x = 201,747 × 201,747
  4. Step 4: Simplify right side
    134,994x = 40,701,852,009
  5. Step 5: Solve for x
    x = 40,701,852,009/134,994
  6. Step 6: Final answer
    x = 301,508.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.