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Finding the Third Proportional to 85,848 and 130,547

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Solution

The third proportional to 85,848 and 130,547 is: 198,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,848 : 130,547 = 130,547 : x
  2. Step 2: Convert to fraction form
    85,848/130,547 = 130,547/x
  3. Step 3: Cross multiply
    85,848x = 130,547 × 130,547
  4. Step 4: Simplify right side
    85,848x = 17,042,519,209
  5. Step 5: Solve for x
    x = 17,042,519,209/85,848
  6. Step 6: Final answer
    x = 198,519.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.