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Finding the Third Proportional to 124,983 and 201,263.63

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Solution

The third proportional to 124,983 and 201,263.63 is: 324,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,983 : 201,263.63 = 201,263.63 : x
  2. Step 2: Convert to fraction form
    124,983/201,263.63 = 201,263.63/x
  3. Step 3: Cross multiply
    124,983x = 201,263.63 × 201,263.63
  4. Step 4: Simplify right side
    124,983x = 40,507,046,748.14
  5. Step 5: Solve for x
    x = 40,507,046,748.14/124,983
  6. Step 6: Final answer
    x = 324,100.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.