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Finding the Third Proportional to 97,300 and 146,000

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Solution

The third proportional to 97,300 and 146,000 is: 219,075.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,300 : 146,000 = 146,000 : x
  2. Step 2: Convert to fraction form
    97,300/146,000 = 146,000/x
  3. Step 3: Cross multiply
    97,300x = 146,000 × 146,000
  4. Step 4: Simplify right side
    97,300x = 21,316,000,000
  5. Step 5: Solve for x
    x = 21,316,000,000/97,300
  6. Step 6: Final answer
    x = 219,075.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.