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Finding the Third Proportional to 64,929 and 93,010.50

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Solution

The third proportional to 64,929 and 93,010.50 is: 133,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,929 : 93,010.50 = 93,010.50 : x
  2. Step 2: Convert to fraction form
    64,929/93,010.50 = 93,010.50/x
  3. Step 3: Cross multiply
    64,929x = 93,010.50 × 93,010.50
  4. Step 4: Simplify right side
    64,929x = 8,650,953,110.25
  5. Step 5: Solve for x
    x = 8,650,953,110.25/64,929
  6. Step 6: Final answer
    x = 133,237.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.