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Finding the Third Proportional to 58,997.11 and 93,465.77

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Solution

The third proportional to 58,997.11 and 93,465.77 is: 148,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,997.11 : 93,465.77 = 93,465.77 : x
  2. Step 2: Convert to fraction form
    58,997.11/93,465.77 = 93,465.77/x
  3. Step 3: Cross multiply
    58,997.11x = 93,465.77 × 93,465.77
  4. Step 4: Simplify right side
    58,997.11x = 8,735,850,804.27
  5. Step 5: Solve for x
    x = 8,735,850,804.27/58,997.11
  6. Step 6: Final answer
    x = 148,072.52

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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.