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Finding the Third Proportional to 58,476 and 88,454

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Solution

The third proportional to 58,476 and 88,454 is: 133,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,476 : 88,454 = 88,454 : x
  2. Step 2: Convert to fraction form
    58,476/88,454 = 88,454/x
  3. Step 3: Cross multiply
    58,476x = 88,454 × 88,454
  4. Step 4: Simplify right side
    58,476x = 7,824,110,116
  5. Step 5: Solve for x
    x = 7,824,110,116/58,476
  6. Step 6: Final answer
    x = 133,800.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.