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Finding the Third Proportional to 105,051 and 141,528

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Solution

The third proportional to 105,051 and 141,528 is: 190,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,051 : 141,528 = 141,528 : x
  2. Step 2: Convert to fraction form
    105,051/141,528 = 141,528/x
  3. Step 3: Cross multiply
    105,051x = 141,528 × 141,528
  4. Step 4: Simplify right side
    105,051x = 20,030,174,784
  5. Step 5: Solve for x
    x = 20,030,174,784/105,051
  6. Step 6: Final answer
    x = 190,670.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.