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Finding the Third Proportional to 113,050 and 242,490

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Solution

The third proportional to 113,050 and 242,490 is: 520,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,050 : 242,490 = 242,490 : x
  2. Step 2: Convert to fraction form
    113,050/242,490 = 242,490/x
  3. Step 3: Cross multiply
    113,050x = 242,490 × 242,490
  4. Step 4: Simplify right side
    113,050x = 58,801,400,100
  5. Step 5: Solve for x
    x = 58,801,400,100/113,050
  6. Step 6: Final answer
    x = 520,136.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.