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Finding the Third Proportional to 68,906 and 97,528

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Solution

The third proportional to 68,906 and 97,528 is: 138,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,906 : 97,528 = 97,528 : x
  2. Step 2: Convert to fraction form
    68,906/97,528 = 97,528/x
  3. Step 3: Cross multiply
    68,906x = 97,528 × 97,528
  4. Step 4: Simplify right side
    68,906x = 9,511,710,784
  5. Step 5: Solve for x
    x = 9,511,710,784/68,906
  6. Step 6: Final answer
    x = 138,038.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.