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Finding the Third Proportional to 59,424 and 91,712

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Solution

The third proportional to 59,424 and 91,712 is: 141,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,424 : 91,712 = 91,712 : x
  2. Step 2: Convert to fraction form
    59,424/91,712 = 91,712/x
  3. Step 3: Cross multiply
    59,424x = 91,712 × 91,712
  4. Step 4: Simplify right side
    59,424x = 8,411,090,944
  5. Step 5: Solve for x
    x = 8,411,090,944/59,424
  6. Step 6: Final answer
    x = 141,543.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.