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Finding the Third Proportional to 74,564 and 157,764.50

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Solution

The third proportional to 74,564 and 157,764.50 is: 333,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,564 : 157,764.50 = 157,764.50 : x
  2. Step 2: Convert to fraction form
    74,564/157,764.50 = 157,764.50/x
  3. Step 3: Cross multiply
    74,564x = 157,764.50 × 157,764.50
  4. Step 4: Simplify right side
    74,564x = 24,889,637,460.25
  5. Step 5: Solve for x
    x = 24,889,637,460.25/74,564
  6. Step 6: Final answer
    x = 333,802.34

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.