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Finding the Third Proportional to 56,473 and 122,783

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Solution

The third proportional to 56,473 and 122,783 is: 266,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,473 : 122,783 = 122,783 : x
  2. Step 2: Convert to fraction form
    56,473/122,783 = 122,783/x
  3. Step 3: Cross multiply
    56,473x = 122,783 × 122,783
  4. Step 4: Simplify right side
    56,473x = 15,075,665,089
  5. Step 5: Solve for x
    x = 15,075,665,089/56,473
  6. Step 6: Final answer
    x = 266,953.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.