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Finding the Third Proportional to 72,564 and 106,362

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Solution

The third proportional to 72,564 and 106,362 is: 155,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,564 : 106,362 = 106,362 : x
  2. Step 2: Convert to fraction form
    72,564/106,362 = 106,362/x
  3. Step 3: Cross multiply
    72,564x = 106,362 × 106,362
  4. Step 4: Simplify right side
    72,564x = 11,312,875,044
  5. Step 5: Solve for x
    x = 11,312,875,044/72,564
  6. Step 6: Final answer
    x = 155,902.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.