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Finding the Third Proportional to 72,948 and 157,056

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Solution

The third proportional to 72,948 and 157,056 is: 338,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,948 : 157,056 = 157,056 : x
  2. Step 2: Convert to fraction form
    72,948/157,056 = 157,056/x
  3. Step 3: Cross multiply
    72,948x = 157,056 × 157,056
  4. Step 4: Simplify right side
    72,948x = 24,666,587,136
  5. Step 5: Solve for x
    x = 24,666,587,136/72,948
  6. Step 6: Final answer
    x = 338,139.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.