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Finding the Third Proportional to 58,488 and 94,192.50

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Solution

The third proportional to 58,488 and 94,192.50 is: 151,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,488 : 94,192.50 = 94,192.50 : x
  2. Step 2: Convert to fraction form
    58,488/94,192.50 = 94,192.50/x
  3. Step 3: Cross multiply
    58,488x = 94,192.50 × 94,192.50
  4. Step 4: Simplify right side
    58,488x = 8,872,227,056.25
  5. Step 5: Solve for x
    x = 8,872,227,056.25/58,488
  6. Step 6: Final answer
    x = 151,693.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.