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Finding the Third Proportional to 84,130 and 130,247

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Solution

The third proportional to 84,130 and 130,247 is: 201,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,130 : 130,247 = 130,247 : x
  2. Step 2: Convert to fraction form
    84,130/130,247 = 130,247/x
  3. Step 3: Cross multiply
    84,130x = 130,247 × 130,247
  4. Step 4: Simplify right side
    84,130x = 16,964,281,009
  5. Step 5: Solve for x
    x = 16,964,281,009/84,130
  6. Step 6: Final answer
    x = 201,643.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.