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Finding the Third Proportional to 59,004 and 93,471

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Solution

The third proportional to 59,004 and 93,471 is: 148,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,004 : 93,471 = 93,471 : x
  2. Step 2: Convert to fraction form
    59,004/93,471 = 93,471/x
  3. Step 3: Cross multiply
    59,004x = 93,471 × 93,471
  4. Step 4: Simplify right side
    59,004x = 8,736,827,841
  5. Step 5: Solve for x
    x = 8,736,827,841/59,004
  6. Step 6: Final answer
    x = 148,071.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.