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Finding the Third Proportional to 58,476.94 and 137,953.13

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Solution

The third proportional to 58,476.94 and 137,953.13 is: 325,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,476.94 : 137,953.13 = 137,953.13 : x
  2. Step 2: Convert to fraction form
    58,476.94/137,953.13 = 137,953.13/x
  3. Step 3: Cross multiply
    58,476.94x = 137,953.13 × 137,953.13
  4. Step 4: Simplify right side
    58,476.94x = 19,031,064,697.27
  5. Step 5: Solve for x
    x = 19,031,064,697.27/58,476.94
  6. Step 6: Final answer
    x = 325,445.65

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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.