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Finding the Third Proportional to 123,292.13 and 237,259.13

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Solution

The third proportional to 123,292.13 and 237,259.13 is: 456,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,292.13 : 237,259.13 = 237,259.13 : x
  2. Step 2: Convert to fraction form
    123,292.13/237,259.13 = 237,259.13/x
  3. Step 3: Cross multiply
    123,292.13x = 237,259.13 × 237,259.13
  4. Step 4: Simplify right side
    123,292.13x = 56,291,892,395.77
  5. Step 5: Solve for x
    x = 56,291,892,395.77/123,292.13
  6. Step 6: Final answer
    x = 456,573.30

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.