Finding the Third Proportional to 56,710 and 83,772
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Solution
The third proportional to 56,710 and 83,772 is: 123,747.98
Step by Step Solution
- Step 1: Write the proportion equation
56,710 : 83,772 = 83,772 : x - Step 2: Convert to fraction form
56,710/83,772 = 83,772/x - Step 3: Cross multiply
56,710x = 83,772 × 83,772 - Step 4: Simplify right side
56,710x = 7,017,747,984 - Step 5: Solve for x
x = 7,017,747,984/56,710 - Step 6: Final answer
x = 123,747.98
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.