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Finding the Third Proportional to 107,064 and 235,312.50

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Solution

The third proportional to 107,064 and 235,312.50 is: 517,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,064 : 235,312.50 = 235,312.50 : x
  2. Step 2: Convert to fraction form
    107,064/235,312.50 = 235,312.50/x
  3. Step 3: Cross multiply
    107,064x = 235,312.50 × 235,312.50
  4. Step 4: Simplify right side
    107,064x = 55,371,972,656.25
  5. Step 5: Solve for x
    x = 55,371,972,656.25/107,064
  6. Step 6: Final answer
    x = 517,185.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.