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Finding the Third Proportional to 53,316 and 123,428.25

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Solution

The third proportional to 53,316 and 123,428.25 is: 285,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,316 : 123,428.25 = 123,428.25 : x
  2. Step 2: Convert to fraction form
    53,316/123,428.25 = 123,428.25/x
  3. Step 3: Cross multiply
    53,316x = 123,428.25 × 123,428.25
  4. Step 4: Simplify right side
    53,316x = 15,234,532,898.06
  5. Step 5: Solve for x
    x = 15,234,532,898.06/53,316
  6. Step 6: Final answer
    x = 285,740.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.