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Finding the Third Proportional to 53,368 and 77,294

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Solution

The third proportional to 53,368 and 77,294 is: 111,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,368 : 77,294 = 77,294 : x
  2. Step 2: Convert to fraction form
    53,368/77,294 = 77,294/x
  3. Step 3: Cross multiply
    53,368x = 77,294 × 77,294
  4. Step 4: Simplify right side
    53,368x = 5,974,362,436
  5. Step 5: Solve for x
    x = 5,974,362,436/53,368
  6. Step 6: Final answer
    x = 111,946.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.