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Finding the Third Proportional to 58,544.50 and 138,156.13

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Solution

The third proportional to 58,544.50 and 138,156.13 is: 326,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,544.50 : 138,156.13 = 138,156.13 : x
  2. Step 2: Convert to fraction form
    58,544.50/138,156.13 = 138,156.13/x
  3. Step 3: Cross multiply
    58,544.50x = 138,156.13 × 138,156.13
  4. Step 4: Simplify right side
    58,544.50x = 19,087,114,875.02
  5. Step 5: Solve for x
    x = 19,087,114,875.02/58,544.50
  6. Step 6: Final answer
    x = 326,027.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.