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Finding the Third Proportional to 102,590 and 153,475

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Solution

The third proportional to 102,590 and 153,475 is: 229,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,590 : 153,475 = 153,475 : x
  2. Step 2: Convert to fraction form
    102,590/153,475 = 153,475/x
  3. Step 3: Cross multiply
    102,590x = 153,475 × 153,475
  4. Step 4: Simplify right side
    102,590x = 23,554,575,625
  5. Step 5: Solve for x
    x = 23,554,575,625/102,590
  6. Step 6: Final answer
    x = 229,599.14

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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.