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Finding the Third Proportional to 64,010 and 93,700

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Solution

The third proportional to 64,010 and 93,700 is: 137,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,010 : 93,700 = 93,700 : x
  2. Step 2: Convert to fraction form
    64,010/93,700 = 93,700/x
  3. Step 3: Cross multiply
    64,010x = 93,700 × 93,700
  4. Step 4: Simplify right side
    64,010x = 8,779,690,000
  5. Step 5: Solve for x
    x = 8,779,690,000/64,010
  6. Step 6: Final answer
    x = 137,161.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.