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Finding the Third Proportional to 64,031 and 93,970

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Solution

The third proportional to 64,031 and 93,970 is: 137,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,031 : 93,970 = 93,970 : x
  2. Step 2: Convert to fraction form
    64,031/93,970 = 93,970/x
  3. Step 3: Cross multiply
    64,031x = 93,970 × 93,970
  4. Step 4: Simplify right side
    64,031x = 8,830,360,900
  5. Step 5: Solve for x
    x = 8,830,360,900/64,031
  6. Step 6: Final answer
    x = 137,907.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.