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Finding the Third Proportional to 58,461 and 88,434

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Solution

The third proportional to 58,461 and 88,434 is: 133,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,461 : 88,434 = 88,434 : x
  2. Step 2: Convert to fraction form
    58,461/88,434 = 88,434/x
  3. Step 3: Cross multiply
    58,461x = 88,434 × 88,434
  4. Step 4: Simplify right side
    58,461x = 7,820,572,356
  5. Step 5: Solve for x
    x = 7,820,572,356/58,461
  6. Step 6: Final answer
    x = 133,774.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.